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What is the value of x?

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GMATBusters
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What is the value of x? [#permalink] New post  01 Nov 2018, 08:04
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What is the value of x?
(1) 2x + 3y = 12
(2) 5x + 7y = 29
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Re: What is the value of x? [#permalink] New post  01 Nov 2018, 08:29
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gmatbusters wrote:
What is the value of x?
(1) 2x + 3y = 12
(2) 5x + 7y = 29


We need to find the value of x

(1) 2x + 3y = 12. It represents a straight line and infinite values of x and y satisfy it ( by satisfying the equation) Hence not sufficient!

(2) 5x + 7y = 29 Not sufficient for same reasons as above.

(1) + (2) together : If the two lines intersect in one point we have a unique value of x and y. Let's solve to see if they do ( as we need to eliminate the possibility of two coincident lines)

2x + 3y = 12 ... Multiply by 7
5x + 7y = 29 ... Multiply by 3

14x + 21y = 12*7
15x + 21y = 29*3

Subtract the first one from the second one...

x = 29*3 - 12*7

Hence we can determine a unique value of x.

So Option (C) is our choice.

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Gladi
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Re: What is the value of x? [#permalink] New post  03 Nov 2018, 16:06
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gmatbusters wrote:
What is the value of x?
(1) 2x + 3y = 12
(2) 5x + 7y = 29


Looks like OA is wrong. It should be C not A. Please correct me if I am wrong.

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Re: What is the value of x? [#permalink] New post  03 Nov 2018, 18:17
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Thanks for pointing out the typo.

OA is revised.

dollytaneja51 wrote:
gmatbusters wrote:
What is the value of x?
(1) 2x + 3y = 12
(2) 5x + 7y = 29


Looks like OA is wrong. It should be C not A. Please correct me if I am wrong.

Posted from my mobile device

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Re: What is the value of x? [#permalink] New post  02 Feb 2023, 05:50
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Re: What is the value of x? [#permalink]
02 Feb 2023, 05:50
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